Solve (720m)+1/2(-420m+5)(3.95)^2/(3.95)

$$\frac { ( 720 m ) + \frac { 1 } { 2 } ( - 420 m + 5 ) ( 3.95 ) ^ { 2 } } { ( 3.95 ) }$$

Evaluate

$$-\frac{102261m}{158}+9.875$$

Solution Steps

Calculate 3.95 to the power of 2 and get 15.6025.

$$\frac{720m+\frac{1}{2}\left(-420m+5\right)\times 15.6025}{3.95}$$

Convert decimal number 15.6025 to fraction \frac{156025}{10000}. Reduce the fraction \frac{156025}{10000} to lowest terms by extracting and canceling out 25.

$$\frac{720m+\frac{1}{2}\left(-420m+5\right)\times \frac{6241}{400}}{3.95}$$

Multiply \frac{1}{2} times \frac{6241}{400} by multiplying numerator times numerator and denominator times denominator.

$$\frac{720m+\frac{1\times 6241}{2\times 400}\left(-420m+5\right)}{3.95}$$

Do the multiplications in the fraction \frac{1\times 6241}{2\times 400}.

$$\frac{720m+\frac{6241}{800}\left(-420m+5\right)}{3.95}$$

Use the distributive property to multiply \frac{6241}{800} by -420m+5.

$$\frac{720m+\frac{6241}{800}\left(-420\right)m+\frac{6241}{800}\times 5}{3.95}$$

Express \frac{6241}{800}\left(-420\right) as a single fraction.

$$\frac{720m+\frac{6241\left(-420\right)}{800}m+\frac{6241}{800}\times 5}{3.95}$$

Multiply 6241 and -420 to get -2621220.

$$\frac{720m+\frac{-2621220}{800}m+\frac{6241}{800}\times 5}{3.95}$$

Reduce the fraction \frac{-2621220}{800} to lowest terms by extracting and canceling out 20.

$$\frac{720m-\frac{131061}{40}m+\frac{6241}{800}\times 5}{3.95}$$

Express \frac{6241}{800}\times 5 as a single fraction.

$$\frac{720m-\frac{131061}{40}m+\frac{6241\times 5}{800}}{3.95}$$

Multiply 6241 and 5 to get 31205.

$$\frac{720m-\frac{131061}{40}m+\frac{31205}{800}}{3.95}$$

Reduce the fraction \frac{31205}{800} to lowest terms by extracting and canceling out 5.

$$\frac{720m-\frac{131061}{40}m+\frac{6241}{160}}{3.95}$$

Combine 720m and -\frac{131061}{40}m to get -\frac{102261}{40}m.

$$\frac{-\frac{102261}{40}m+\frac{6241}{160}}{3.95}$$

Expand

$$-\frac{102261m}{158}+9.875$$

Solution Steps

Calculate 3.95 to the power of 2 and get 15.6025.

$$\frac{720m+\frac{1}{2}\left(-420m+5\right)\times 15.6025}{3.95}$$

Convert decimal number 15.6025 to fraction \frac{156025}{10000}. Reduce the fraction \frac{156025}{10000} to lowest terms by extracting and canceling out 25.

$$\frac{720m+\frac{1}{2}\left(-420m+5\right)\times \frac{6241}{400}}{3.95}$$

Multiply \frac{1}{2} times \frac{6241}{400} by multiplying numerator times numerator and denominator times denominator.

$$\frac{720m+\frac{1\times 6241}{2\times 400}\left(-420m+5\right)}{3.95}$$

Do the multiplications in the fraction \frac{1\times 6241}{2\times 400}.

$$\frac{720m+\frac{6241}{800}\left(-420m+5\right)}{3.95}$$

Use the distributive property to multiply \frac{6241}{800} by -420m+5.

$$\frac{720m+\frac{6241}{800}\left(-420\right)m+\frac{6241}{800}\times 5}{3.95}$$

Express \frac{6241}{800}\left(-420\right) as a single fraction.

$$\frac{720m+\frac{6241\left(-420\right)}{800}m+\frac{6241}{800}\times 5}{3.95}$$

Multiply 6241 and -420 to get -2621220.

$$\frac{720m+\frac{-2621220}{800}m+\frac{6241}{800}\times 5}{3.95}$$

Reduce the fraction \frac{-2621220}{800} to lowest terms by extracting and canceling out 20.

$$\frac{720m-\frac{131061}{40}m+\frac{6241}{800}\times 5}{3.95}$$

Express \frac{6241}{800}\times 5 as a single fraction.

$$\frac{720m-\frac{131061}{40}m+\frac{6241\times 5}{800}}{3.95}$$

Multiply 6241 and 5 to get 31205.

$$\frac{720m-\frac{131061}{40}m+\frac{31205}{800}}{3.95}$$

Reduce the fraction \frac{31205}{800} to lowest terms by extracting and canceling out 5.

$$\frac{720m-\frac{131061}{40}m+\frac{6241}{160}}{3.95}$$

Combine 720m and -\frac{131061}{40}m to get -\frac{102261}{40}m.

$$\frac{-\frac{102261}{40}m+\frac{6241}{160}}{3.95}$$